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Feliz [49]
3 years ago
6

Solve by completing the square. x2-6x+8 Show solving steps please.

Mathematics
2 answers:
Karolina [17]3 years ago
6 0

Answer:

x = 2 , x = 4

Step-by-step explanation:

To solve the expression equate it to zero

x² - 6x + 8 = 0 ( subtract 8 from both sides )

x² - 6x = - 8

To complete the square

add ( half the coefficient of the x- term)² to both sides

x² + 2(- 3)x + 9 = - 8 + 9

(x - 3)² = 1 ( take square root of both sides )

x - 3 = ± \sqrt{1} = ± 1 ( add 3 to both sides )

x = 3 ± 1

Then

x = 3 - 1 = 2 or x = 3 + 1 = 4

devlian [24]3 years ago
4 0

Answer:

(x−2)(x−4)

Step-by-step explanation:

Let's factor x2−6x+8

x2−6x+8

The middle number is -6 and the last number is 8.

Factoring means we want something like

(x+_)(x+_)

Which numbers go in the blanks?

We need two numbers that...

Add together to get -6

Multiply together to get 8

Can you think of the two numbers?

Try -2 and -4:

-2+-4 = -6

-2*-4 = 8

Fill in the blanks in

(x+_)(x+_)

with -2 and -4 to get...

(x-2)(x-4)

Hope this helps! Also, if it's no trouble, can I have brainliest? Thanks! :D

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An iron ball is bobbing up and down on the end of a spring. The maximum height of the ball is 46 inches and its minimum height i
Westkost [7]

Answer:

The equation for height is

h=32sin(\frac{\pi}{2}t)+14

Step-by-step explanation:

we are given

An iron ball is bobbing up and down on the end of a spring

So, height function must be trigonometric in nature

So, we can use formula

h=Asin(Bt)+D

now, we can find A , B and D

Calculation of A:

maximum height 46 inch

minimum height =18 inch

so,

A=\frac{46+18}{2}=32

Calculation of B:

It takes the ball 2 seconds to go from its maximum height to its minimum height

So, half of time period is 2 sec

\frac{T}{2}=2

T=4

now, we can use period formula

T=\frac{2\pi}{B}

we can find B

4=\frac{2\pi}{B}

B=\frac{2\pi}{4}

B=\frac{\pi}{2}

Calculation of D:

Max=46

min=18

D=\frac{46-18}{2}

D=14

now, we can plug these values into formula

and we get

h=32sin(\frac{\pi}{2}t)+14


6 0
3 years ago
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laiz [17]

Answer:

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murzikaleks [220]
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Pani-rosa [81]

Answer:

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asambeis [7]

Answer:

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Step-by-step explanation:

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